# Interaction of innovations

To number of the phenomena, characteristic for wave processes, the interference of waves concerns. The essence of the phenomenon of an interference consists that under certain conditions at mutual imposing of two or several waves in the field of their overlapping total intensity in one points of space will exceed their total intensity, and in others - to decrease up to zero.

Let's consider a case of a two-beam interference. It is known, that at addition of two waves of identical frequency with intensivnostjami I_{1}с a phase φ_{1}и I_{2}с a phase φ_{2} intensity of a total wave I will be described so:

The third composed - sign-variable in the given formula, is responsible for degree of a coordination, interference. If it is equal to zero, i.e. waves are not connected, the interference picture does not happen.

Questions of application of the phenomenon of an interference to economic processes were considered in particular in these works [103, 160].

Further we will accept such assumption, as consideration of the localised source of innovations, for example, the certain enterprise or integrated klastera the enterprises. Then to interpret intensity in case of distribution of innovations it is possible through quantity of sales or introductions. More low in item 3.1. More detailed description of the assumptions accepted in work will be given.

In our case it is possible to tell, that the third composed is responsible for degree of influence of one process on other. If such mutual influence is not present, innovative processes are independent one another. For example, if have various seller's market M? j = 0 the quantity of sales (introductions) will be equal to the sum of sales (introductions) of everyone. Otherwise we face effect of a synergy or effect kannibalizma.

The first condition - waves should be crossed in a certain point. The given condition is observed at the expense of fulfilment of a necessary condition of the theorem - crossings of potential volume of commodity market M? j = M? ∩ Mj, where set M? jне the empty. Such crossing of sales is caused by coincidence (probably partial coincidence) essence of innovative products. Without such crossing there will be no interaction point.

The second condition - observance kogerentnosti waves, that is a coordination of phases of waves, - is supplied at the expense of interaction within the limits of the uniform environment (the social and economic environment) and during the set period of time tраспространения results of a portfolio of innovative projects.

2.2.3

## More on topic Interaction of innovations:

- Ekosistema innovations
- 1.3 Mathematical models of distribution of innovations
- Strategy of introduction of innovations
- 4. Strategy of innovations
- 2. A principle of continuous innovations.
- 3.4. An estimation of possible risks at financing of innovations
- the Consequence of the theorem of existence of mutual influence of innovations
- 1.1. Concept of innovations and a role of a bank of commerce
- Chapter 3 Management of process of distribution of innovations
- § 2. Advantages of electronic interaction before traditional forms of interaction within the limits of the relations labour and directly connected with them
- Distribution of innovations
**Mathematical model of distribution of innovations**- the analysis and synthesis of actual creative toolkit on geneyoratsii and to development of innovations: design thinking, TRIZ and lateralnoe myshyolenie
- 1.2. The organisations of competitive production with use of technological innovations.
- the Organization of competitive production with use of technological innovations.
- Chapter 2 Mutual influence of innovations in the course of their distribution